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Peer-reviewedCC BY 4.0Fractal and Fractional

Fractional-Order Dynamic Illumination Adjustment for Low-Light Enhancement Using Luminance Segmentation

  1. 1School of Mathematics and Information Sciences, Nanchang Hangkong University, Nanchang 330063, China
  2. 2School of Mathematics and Statistics, Guangdong University of Foreign Studies, Guangzhou 510002, China
  3. 3School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

Abstract

Low-light image enhancement is an important problem in image processing. In this paper, we propose a novel adaptive variational model based on fractional-order gradients for low-light image enhancement. Specifically, the low-light part of the low-light image is enhanced, that is, the contrast of the low-light image is enhanced. The core concept of the proposed technique involves partitioning the image domain into low-light and brighter regions by applying an optimal threshold value. Then, a fitting term is further used for the low-light parts, so that the pixels in the low-light area can be enhanced by adjusting the contrast and brightness parameters. The existence of a minimizer is established under the stated assumptions, and the uniqueness of the solution is proved under the corresponding convexity conditions. An efficient split Bregman method is developed to solve the proposed variational model. Experimental results demonstrate the effectiveness of the proposed method for low-light image enhancement.

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BibTeX
@article{chen2026fractionalorder,
  title = {{Fractional-Order Dynamic Illumination Adjustment for Low-Light Enhancement Using Luminance Segmentation}},
  author = {Bao Chen and Tianlan Xiong and Juanjuan Gao and Yuchao Tang},
  journal = {Fractal and Fractional},
  year = {2026},
  month = oct,
  doi = {10.3390/fractalfract10110755},
  url = {https://www.mdpi.com/2504-3110/10/11/755},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Fractional-Order Dynamic Illumination Adjustment for Low-Light Enhancement Using Luminance Segmentation
AU  - Bao Chen
AU  - Tianlan Xiong
AU  - Juanjuan Gao
AU  - Yuchao Tang
PY  - 2026
DA  - 2026/10/28
JO  - Fractal and Fractional
DO  - 10.3390/fractalfract10110755
UR  - https://www.mdpi.com/2504-3110/10/11/755
AB  - Low-light image enhancement is an important problem in image processing. In this paper, we propose a novel adaptive variational model based on fractional-order gradients for low-light image enhancement. Specifically, the low-light part of the low-light image is enhanced, that is, the contrast of the low-light image is enhanced. The core concept of the proposed technique involves partitioning the image domain into low-light and brighter regions by applying an optimal threshold value. Then, a fitting term is further used for the low-light parts, so that the pixels in the low-light area can be enhanced by adjusting the contrast and brightness parameters. The existence of a minimizer is established under the stated assumptions, and the uniqueness of the solution is proved under the corresponding convexity conditions. An efficient split Bregman method is developed to solve the proposed variational model. Experimental results demonstrate the effectiveness of the proposed method for low-light image enhancement.
SN  - 2504-3110
ER  -